An average linear difference scheme for the generalized Rosenau-KdV equation
type: Item
instance of: scholarly article
title: An average linear difference scheme for the generalized Rosenau-KdV equation
zbMATH Open document ID: 1406.35341
DOI: 10.1155/2014/202793
author: Erdal Karapınar
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: An average linear finite difference scheme for the numerical solution of the initial-boundary value problem of Generalized Rosenau-KdV equation is proposed. The existence, uniqueness, and conservation for energy of the difference solution are proved by the discrete energy norm method. It is shown that the finite difference scheme is 2nd-order convergent and unconditionally stable. Numerical experiments verify that the theoretical results are right and the numerical method is efficient and reliable.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M22
zbMATH DE Number: 7010569
Wikidata QID: Q59050261
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/202793
OpenAlex ID: W2083488075
DBLP publication ID: journals/jam/ZhengZ14
Recommended article: Average implicit linear difference scheme for generalized Rosenau-Burgers equation
Recommended article: A new linear difference scheme for generalized Rosenau-Kawahara equation
Recommended article: Q2990917
Recommended article: Conservative linear difference scheme for Rosenau-KdV equation
Recommended article: Q5276711
Recommended article: Q3175538
Recommended article: Conservative difference scheme for generalized Rosenau-KdV equation
Recommended article: A linearly implicit conservative difference scheme for the generalized Rosenau-Kawahara-RLW equation
Recommended article: Q5368615
Recommended article: Q3180867
description: scientific article; zbMATH DE number 7010569